What is the time complexity for searching a key or integer in Van Emde Boas data structure?

(a) O (log M!)

(b) O (M!)

(c) O (M^2)

(d) O (log (log M))

Question is from Trees in division Trees of Data Structures & Algorithms I

I had been asked this question in an interview for internship.

1 Answers

Right choice is (d) O (log (log M))

For explanation: In order to search a key or integer in the Van Emde Boas data structure, the operation can be performed on an associative array. Hence, the time complexity for searching a key or integer in Van Emde Boas data structure is O (log (log M)).